Certificate for #1981 ⟨a, b | aabbaaab=aa⟩

Back:⟨a, b | aabbaaab=aa⟩

Completion settings:

[1] aabbaaab=aa

Axiom: aabbaaab=aa.

Defines rule #3.

Referenced by [2], [3].

[2] aabaaab=aabbaaa

Overlap of [1] aabbaaab=aa with [1] aabbaaab=aa:

aabba aab aabbaaab

Critical pair: aabbaaa=aabaaab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] aaaaab=aabaaa

Overlap of [1] aabbaaab=aa with [2] aabaaab=aabbaaa:

aabba aab aabaaab

Critical pair: aabbaaabbaaa=aaaaab.

Reduce LHS:

[1](aabbaaab)baaa
⇒ aabaaa

Flip LHS and RHS.

Defines rule #1.